Equation Result

[cbarcellos-rbi]

I've tried to solve an equation that only can be solved by approximation (e.g. Newton, bisection, etc.). Qalq sends a response that I could not understand, and is not the solution (as far as I understood). I evaluated this in my HP calculator and the value is approximately 2.4818 (which solves the equation)

This is the equation I'm trying to solve:

"x(5985/(sin(x/2))=15700"

The result I'm getting is the following:

x × ((5985 / sin((x / 2) radians)) = 15700) ≈ (x ≈ 12.56637061n + 5.500975342 or x ≈ 12.56637061n + 0.7822099649)x

I'm running version 4.6.1.

Would somebody explain what are these numbers? For instance, what is the `n' after the number?

Thanks in Advance

[hanna-kn]

A parenthesis is missing in the expression (before the equals sign) which is therefore interpreted as x multiplied by the equation (5985/(sin(x/2))=15700 (with the solutions 12.56637061n + 5.500975342 and 12.56637061n + 0.7822099649, where n represents any integer).

Qalculate is not able to solve x(5985/(sin(x/2)))=15700 using the ordinary method, but it can be solved using the newtonsolve function (e.g. newtonsolve(x(5985/(sin(x/2)))=15700, 1), or newtonsolve(x(5985/(sin(x/2)))=15700, -1) for the negative solution).

[cbarcellos-rbi]

Thank you for the prompt response!